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Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making

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  • Wei Li
  • Shouzhen Zeng

Abstract

We introduce a method based on distance measures for group decision making under uncertain linguistic environment. We develop some uncertain linguistic aggregation distance measures called the uncertain linguistic weighted distance (ULWD) measure, the uncertain linguistic ordered weighted distance (ULOWD) measure, and the uncertain linguistic hybrid weighted distance (ULHWD) measure. We study some of their characteristic, and we prove that the ULWD and the ULOWD are special cases of the ULHWD measure. Finally, we develop an application of the ULHWD measure in a group decision making problem concerning the evaluation of university faculty for tenure and promotion with uncertain linguistic information.

Suggested Citation

  • Wei Li & Shouzhen Zeng, 2013. "Uncertain Linguistic Aggregation Distance Measures and Their Application to Group Decision Making," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:563650
    DOI: 10.1155/2013/563650
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    References listed on IDEAS

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    1. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
    2. Zeshui Xu, 2009. "An Interactive Approach to Multiple Attribute Group Decision Making with Multigranular Uncertain Linguistic Information," Group Decision and Negotiation, Springer, vol. 18(2), pages 119-145, March.
    3. Shouzhen Zeng, 2013. "Some Intuitionistic Fuzzy Weighted Distance Measures and Their Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(2), pages 281-298, March.
    Full references (including those not matched with items on IDEAS)

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